W = 3A - 6
W = 33
33 = 3A - 6
33 + 6 = 3A
39 = 3A
39/3 = A
13 = A.....he is 13
Answer:
hope this helps! :)
Step-by-step explanation:
Partition the primary number of the profit (or the two first numbers if the past advance took another digit) by the principal digit of the divisor. Compose the consequence of this division in the space of the remainder. Increase the digit of the remainder by the divisor, compose the outcome underneath the profit and deduct it
Complete Question:
Is the value of the fraction 7−2y/6 greater than the value of the fraction 3y−7/12 ? For what values?(Make sure to use an inequality)
Answer:
y < 3
Step-by-step explanation:
The given two fractions are:
and ![\frac{3y-7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3y-7%7D%7B12%7D)
We have to tell for which range of values is the value of first fraction larger than the second fraction. This can be done by setting up an inequality as shown:
![\frac{7-2y}{6} >\frac{3y-7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B7-2y%7D%7B6%7D%20%3E%5Cfrac%7B3y-7%7D%7B12%7D)
The range of y which will satisfy this inequality will result in first fraction of larger value as compared to the second fraction.
Multiplying both sides of inequality by 12, we get:
![12 \times \frac{7-2y}{6} > 12 \times \frac{3y-7}{12} \\\\ 2(7-2y)>3y-7\\\\ 14-4y>3y-7\\\\ 14+7>3y+4y\\\\ 21>7y\\\\ 3>y\\\\ y](https://tex.z-dn.net/?f=12%20%5Ctimes%20%5Cfrac%7B7-2y%7D%7B6%7D%20%3E%2012%20%5Ctimes%20%5Cfrac%7B3y-7%7D%7B12%7D%20%5C%5C%5C%5C%20%202%287-2y%29%3E3y-7%5C%5C%5C%5C%2014-4y%3E3y-7%5C%5C%5C%5C%2014%2B7%3E3y%2B4y%5C%5C%5C%5C%2021%3E7y%5C%5C%5C%5C%203%3Ey%5C%5C%5C%5C%20y%3C3)
This means, for y lesser than 3, the value of first fraction is larger than the second one.
Answer:
<h2> 10 in</h2>
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, circles and square.
we know that the pizza has a circular profile
and the place-mat has a square profile.
Step one:
let us solve for the radius of the pizza
![area-of- pizzza= \pi r^2\\\\ 78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in](https://tex.z-dn.net/?f=area-of-%20pizzza%3D%20%5Cpi%20r%5E2%5C%5C%5C%5C%20%2078.5%3D%203.142%2Ar%5E2%5C%5C%5C%5Cr%5E2%3D%2078.5%2F3.142%5C%5C%5C%5Cr%5E2%3D%2024.98%5C%5C%5C%5Cr%3D%20%5Csqrt%7B24.98%7D%20%5C%5C%5C%5Cr%3D4.998%5C%5C%5C%5Cr%3D%205%20in)
Step two:
from inspection we know that the width of the place-mat is same as the diameter of the pizza
hence diameter of pizza
= 2r
=2*5
=10 in
3 times as much as the sum of 3/4 and 2/6